867946686649768 has 24 divisors (see below), whose sum is σ = 1788795082508490. Its totient is φ = 394521221204000.

The previous prime is 867946686649751. The next prime is 867946686649769.

It is a happy number.

867946686649768 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 530432396329924 + 337514290319844 = 23031118^2 + 18371562^2 .

It is not an unprimeable number, because it can be changed into a prime (867946686649769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 448319568583 + ... + 448319570518.

Almost surely, 2^{867946686649768} is an apocalyptic number.

867946686649768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

867946686649768 is an abundant number, since it is smaller than the sum of its proper divisors (920848395858722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

867946686649768 is a wasteful number, since it uses less digits than its factorization.

867946686649768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896639139129 (or 896639139114 counting only the distinct ones).

The product of its digits is 1516975423488, while the sum is 100.

The spelling of 867946686649768 in words is "eight hundred sixty-seven trillion, nine hundred forty-six billion, six hundred eighty-six million, six hundred forty-nine thousand, seven hundred sixty-eight".